What is the Least Common Multiple of 55092 and 55107?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 55092 and 55107 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55092 and 55107, than apply into the LCM equation.

GCF(55092,55107) = 3
LCM(55092,55107) = ( 55092 × 55107) / 3
LCM(55092,55107) = 3035954844 / 3
LCM(55092,55107) = 1011984948

Least Common Multiple (LCM) of 55092 and 55107 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55092 and 55107. First we will calculate the prime factors of 55092 and 55107.

Prime Factorization of 55092

Prime Factorization of 55107

Now multiplying the highest exponent prime factors to calculate the LCM of 55092 and 55107.

LCM(55092,55107) = 2² × 3³ × 4591¹ × 13¹ × 157¹
LCM(55092,55107) = 1011984948